Question

If a parallelogram ABCD is drawn are shown in fig then find the coordinates of 'D'

• A. (2,6)
• B. (6,2)
• C. (12,6)
• D. (6,12)

Answer 1

The correct option is A

(2,6)

Given coordinates of A=(0,0)

B =(5,0)

C=(7,6)

Let the coordinates of D be (x,y).

$\because$ In a parallogram opposite side are equal and parallel

$\therefore$ Difference in X-coordinates of A & D =Difference in X-coordinates of B and C

$\Rightarrow x-0=7-5$

$\Rightarrow x=2$ and similarly difference in Y-coordinates of A and D =difference in Y-coordinates of B and C

$\Rightarrow y-0=6-0$

$\Rightarrow y=6$

$\therefore$ Coordinates of D=(x,y)=(2,6)